Logarithm Rules, Tables, Formulas and Shortcuts

Logarithm Solved Examples - Page 3
Logarithm Important Questions - Page 4
Logarithm Video Lecture - Page 5

Logarithm, in mathematics is the exponent or power to which a stated number called base , is raised to yield a specific number. For example on the expression 10^{2}\, =\, 100 , the Logarithm of 100 to the base 10 is 2. This is written as Log_{10}\, 100\, =\, 2 Logarithms were originally invented to help simplify the arithmetical processes of multiplication, division, expansion to a power and extraction of a 'root', but they are now a days used for variety of purposes in pure and applied mathematics.

If for a positive real number (a ≠ 1) , a^{m}\, =\, b , then the index m is called the Logarithm of b to the base a.
We write this as: Log_{a}b\, m
Log begins the abbreviation of the word ‘Logarithm’. Thus a^{m}\, b\, \leftrightarrow \, log_{a}b\, =\, m
Where a^{m} = b is called the exponential form and Log_{a}b\, =\, m is called the Logarithmic form.

Exponential Form
3^{5}\, =\, 243
2^{4}\, =\, 16
3^{0}\, =\, 1
8^{\frac{1}{3}}\, =\, 2

Logarithmic Form

log_{3}243\, =\, 5
log_{2}16\, =\, 4
log_{3}1\, =\, 0
log_{8}2\, =\, \frac{1}{3}

 

Latest Jobs

  1. Type
    Job Notification
    Job
    UPSC ENGINEERING SERVICES EXAMINATION, 2020 Notification.
    Location
    Anywhere
    Date Posted
    7 Oct 2019
  2. Type
    Job Notification
    Job
    IBPS Clerk Recruitment 2019 - Last Date 09-10-2019
    Location
    Anywhere
    Date Posted
    3 Oct 2019
  3. Type
    Job Notification
    Job
    National Institute of Technology Kurukshetra Recruitment of Professor - Last Date 31-10-2019
    Location
    KurukshetraHaryana, India
    Date Posted
    3 Oct 2019
  4. Type
    Admission
    Job
    National Archives of India - School of Archival Studies 79th short term certificate course in "Care & Conservation of Books, Mss. & Archives"
    Location
    Anywhere
    Date Posted
    3 Oct 2019
  5. Type
    Admission
    Job
    Orissa Maritime Academy admission into Pre-sea General Purpose Rating course (Jan -Jun 2020)
    Location
    ParadeepOdisha, India
    Date Posted
    1 Oct 2019
  6. Type
    Job Notification
    Job
    RITES Recruitment of Site Inspector - Civil, E&M and CAD Operator.
    Location
    GurugramHaryana, India
    Date Posted
    1 Oct 2019
  7. Type
    Job Notification
    Job
    NIT Manipur Recruitment of Registrar on Deputation.
    Location
    ImphalManipur, India
    Date Posted
    1 Oct 2019
  8. Type
    Job Notification
    Job
    ICAR - Indian Agricultural Research Institute invited for walk-in-Interview for filling the temporary post of JRF/SRF/Project Assistant.
    Location
    DelhiDelhi, India
    Date Posted
    30 Sep 2019
  9. Type
    Job Notification
    Job
    FCI Recruitment of GENERAL/ DEPOT/ MOVEMENT/ ACCOUNTS/ TECHNICAL/ ENGINEERING and More.
    Location
    Anywhere
    Date Posted
    30 Sep 2019
  10. Type
    Job Notification
    Job
    Bharati College Janak Puri Recruitment of Principal.
    Location
    DelhiDelhi, India
    Date Posted
    30 Sep 2019

Jobs by Category

Syllabus and Previous Papers

Leave a Reply

Your email address will not be published. Required fields are marked *